A car rounds a curve with a radius of 25 m at a speed 30 m/s. What is the centripetal acceleration of the car?
Given:
speed of v = 30[m/s]
radius of r = 25[m]
Use:
Centipetal-acceleration of:
a_c = v^2/r
36 seconds
Define these terms
To find the centripetal acceleration of the car, we can use the following equation:
a = v² / r
Where:
a = centripetal acceleration
v = velocity
r = radius of the curve
In this case, the velocity of the car is given as 30 m/s, and the radius of the curve is given as 25 m.
Plugging these values into the equation, we get:
a = (30 m/s)² / 25 m
To simplify the equation, we square 30 m/s:
a = (900 m²/s²) / 25 m
Now, we divide 900 m²/s² by 25 m:
a = 36 m/s²
Therefore, the centripetal acceleration of the car is 36 m/s².